Finding the Third Proportional to 82,023.50 and 126,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,023.50 : 126,664.50 = 126,664.50 : x
2. Step 2: Convert to fraction form
   82,023.50/126,664.50 = 126,664.50/x
3. Step 3: Cross multiply
   82,023.50x = 126,664.50 × 126,664.50
4. Step 4: Simplify right side
   82,023.50x = 16,043,895,560.25
5. Step 5: Solve for x
   x = 16,043,895,560.25/82,023.50
6. Step 6: Final answer
   x = 195,601.21